7114400 has 36 divisors (see below), whose sum is σ = 17369982. Its totient is φ = 2845440.

The previous prime is 7114399. The next prime is 7114403. The reversal of 7114400 is 44117.

It can be written as a sum of positive squares in 3 ways, for example, as 3888784 + 3225616 = 1972^2 + 1796^2 .

It is a super-2 number, since 2×7114400² = 101229374720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7114403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3647 + ... + 5246.

Almost surely, 2^7114400 is an apocalyptic number.

It is an amenable number.

7114400 is an abundant number, since it is smaller than the sum of its proper divisors (10255582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7114400 is a wasteful number, since it uses less digits than its factorization.

7114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 7114400 is about 2667.2832620477. The cubic root of 7114400 is about 192.3295843795.

Adding to 7114400 its reverse (44117), we get a palindrome (7158517).

The spelling of 7114400 in words is "seven million, one hundred fourteen thousand, four hundred".